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Finding the Fourth Proportional to 2,675.54, 3,686.36 and 2,000.54

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Solution

The fourth proportional to 2,675.54, 3,686.36 and 2,000.54 is: 2,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.54 : 3,686.36 = 2,000.54 : x
  2. Step 2: Convert to fraction form
    2,675.54/3,686.36 = 2,000.54/x
  3. Step 3: Cross multiply
    2,675.54x = 3,686.36 × 2,000.54
  4. Step 4: Simplify right side
    2,675.54x = 7,374,710.63
  5. Step 5: Solve for x
    x = 7,374,710.63/2,675.54
  6. Step 6: Final answer
    x = 2,756.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.